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What is the Least Common Multiple of 29710 and 29719?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 29710 and 29719 is 882951490.

LCM(29710,29719) = 882951490

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Least Common Multiple of 29710 and 29719 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29710 and 29719, than apply into the LCM equation.

GCF(29710,29719) = 1
LCM(29710,29719) = ( 29710 × 29719) / 1
LCM(29710,29719) = 882951490 / 1
LCM(29710,29719) = 882951490

Least Common Multiple (LCM) of 29710 and 29719 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29710 and 29719. First we will calculate the prime factors of 29710 and 29719.

Prime Factorization of 29710

Prime factors of 29710 are 2, 5, 2971. Prime factorization of 29710 in exponential form is:

29710 = 21 × 51 × 29711

Prime Factorization of 29719

Prime factors of 29719 are 113, 263. Prime factorization of 29719 in exponential form is:

29719 = 1131 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 29710 and 29719.

LCM(29710,29719) = 21 × 51 × 29711 × 1131 × 2631
LCM(29710,29719) = 882951490